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Finding the Fourth Proportional to 968.66, 1,451.17 and 859.31

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Solution

The fourth proportional to 968.66, 1,451.17 and 859.31 is: 1,287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.66 : 1,451.17 = 859.31 : x
  2. Step 2: Convert to fraction form
    968.66/1,451.17 = 859.31/x
  3. Step 3: Cross multiply
    968.66x = 1,451.17 × 859.31
  4. Step 4: Simplify right side
    968.66x = 1,246,999.32
  5. Step 5: Solve for x
    x = 1,246,999.32/968.66
  6. Step 6: Final answer
    x = 1,287.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.